From its founding through 2019, the Hockey Hall of Fame has inducted 281 players. Table P.5 shows the number of players by place of birth and by position played. If a player is chosen at random from all player inductees into the Hockey Hall of Fame, let C represent the event of being born in Canada and D represent the event of being a defenseman. Write each of the following questions as a probability expression and find the probability.

(a) What is the probability that an inductee chosen at random is Canadian? 

(b) What is the probability that an inductee chosen at random is not a defenseman? 

(c) What is the probability that a player chosen at random is a defenseman born in Canada? 

(d) What is the probability that a player chosen at random is either born in Canada or a defenseman? 

(e) What is the probability that a Canadian inductee plays defense? 

(f) What is the probability that an inductee who plays defense is Canadian?

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Table P.5 Hockey Hall of Fame by place of birth and position Canada USA Europe Other Total Offense 133 8 13 2 156 Defense 75 5 6 1 87 Goal 34 1 30 0 38 Total 242 14 22 3 281